Question

Show that
cos titha/
1-sin titha +
1-sin titha/
cos titha
= 2 sec titha​

Answer 1

Step-by-step explanation:

to show

cosx/(1-sinx) + (1-sinx)/cosx = 2secx

{cos²x+(1-sinx)²}/cosx(1-sinx)

{cos²x+1+sin²x-2sinx}/cosx(1-sinx)

(2-2sinx)/cosx(1-sinx)

2(1-sinx)/cosx(1-sinx)

2/cosx = 2 secx proved

thanku.